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Begin by examining the data set. Recognize how the data is recorded and how you may be able to use the given data to explore potential relationships between categories.


Scatterplot Questions

1. Create a scatterplot using average MPG and another category that you feel may influence fuel efficiency. Answer the following questions.

  • Identify the category you chose and why you thought there might be a relationship BEFORE creating the scatterplot?

Answer:Higher horsepower will result in lower mpg.
  • Create the scatterplot. Which category is your x-axis and which is your y-axis? Why did you create your scatterplot in that order?

Answer:Horsepower is x mpg is y This is the order we had it put into a scatterplot.
  • Do you believe there is a relationship between the two categories? Why or why not?

Answer:Yes. Lower mpg is consistent with higher horsepower.
  • If there appears to be a relationship, does it have a positive or negative slope? What does this mean about the relationship between the two categories?

Answer:Negative slope. Greater horsepower the lower mpg.

Regression Questions

(What is Regression?)

Create the linear regession equation in Excel, which Excel calls the trend line. Click the boxes to create both the equation and the r2 value on the graph. Answer the following questions.

  • What is your regression equation? Explain what the equation means in words.

Answer:
Not linear equation because r squared not close to 1. y=-6.3623x+ 307.5 r = 0.4301


  • What is your r2 value? Is this a strong correlation? Why or Why not? If you are not sure, try searching the internet for supporting documents. Provide URL's for where you find your information

Answer: No. y=-6.3623x+ 307.5 r = 0.4301 Not close to 1.

  • Based on all the information you have, has your belief about the relationship of the two categories changes? Why or why not?

Answer: Thought there would be a greater correlation.


Analysis

Right click on the regression equation and select "Format Trendline". Explore the different variations of regression equations.

  • How would you determine which equation had the best relationship?

Answer: Power. It was closest to 1.
  • Was the "Linear" option the optimal option? If so, why? If not, what was the better equation and why?

Answer:



Attach your Scatter Plots and Regression Information. Make sure your X and Y axis are correctly labeled. You may use Screen Shots to do so.


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